Solve applied problems with rational functions. Math 150 precalculus worksheets.
Worksheet by kuta software llc kuta software infinite precalculus graphs of rational functions name date period 1 for each function identify the points of discontinuity holes intercepts horizontal asymptote domain limit behavior at all vertical asymptotes and end behavior asymptote.
Precalculus graphing rational functions worksheet answers. Inverse trig functions 21. Rational functions math 1330 precalculus 231 answer the following. F x ass vqeður identifying graphs of rational functions work with a partner.
Graphing rational functions 23. 1 find the domain of the rational function. Find the domain of the rational function.
Then sketch the graph. Vertical asymptotes look for domain restrictions. Exponential growth and decay these topics and the links shown below should be helpful to students preparing for the precalculus diagnostic exam at ucd links to other pages precalculus sample exams.
B use the quadratic formula to find the vertical. Graphing rational functions date period identify the points of discontinuity holes vertical asymptotes x intercepts and horizontal asymptote of. Extrema intervals of increase and decrease.
Worksheet 2 6a rational functions math 1410 solutions for each of the rational functions given below do the following. Use the graph to determine the domain and range of the function. Find the domain of the rational function.
Average rates of change. Identify slant oblique asymptotes. 3 find the x and y intercepts of the graph of the rational function if they exist.
Create your own worksheets like this one with infinite algebra 2. 1 f x. Graphing rational functions algebra 2 8 2 8 3 worksheet match the function with its raph.
If there are values of x which result in a zero denominator these values would create either a hole in the graph or a vertical asymptote. In the function fx 2 2 53 3 2 3 xx xx a use the quadratic formula to find the x intercepts of the function and then use a calculator to round these answers to the nearest tenth. Use transformations to graph rational functions.
Chapter 4 rational functions practice test short answer 1. Graphs real zeros and end behavior. The remainder theorem.
Worksheet by kuta software llc precalculus extra practice of rational functions name x k2q0b1x7 ckeuotbas wstorfvtdwgagrbei zlulacy d a yaglalo reiigwh tyso frdevsgeprwvkesdc 1 for each function identify the holes intercepts horizontal and vertical asymptote and domain. Power polynomial and rational functions. Use the graph to determine the domain and range of the function.
2 reduce the rational function to lowest terms if possible. Each function is a transformation of the graph of the parent.